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Standard form
Vertex form
Zeros
Transformations
BONUS
100

For standard form, what formula do we use to find axis of symmetry?

x=-b/2a

100

What is the formula for vertex form?

f(x)=a(x-h)2+k

100
What number do we substitute for y when finding x-intercepts?

y=0

100

What is the parent function of a quadratic?

f(x)=x2

Think of the SIMPLEST FORM

100
Identify the non-linear function:


A. y=x

B. y=4

C. y=x2-3


C. y=x2-3

200

Find the vertex of:

f(x)=-x2-4x+2

(-2,6)

200

Given the vertex of a quadratic function is (2,3), which of these could be the equation?

A. y=(x-3)2-2

B. y=2(x+2)2+3

C. y=(x-2)2+3

C. y=(x-2)2+3

200

Factor:

x2-6x+16

(x-8)(x+2)

200

What is the function g(x) if it's created from f(x)=x2 by moving the graph right 5 units, and 7 units up.

g(x)=(x-5)2+7

200

When finding the area of a rectangle with length x and width x+2. 

x(x+2)

x2+2x

300

Answer all of the following questions for 

f(x)=-x2+6x+8:

Vertex?

Minimum of Maximum?

y-intercept?

Vertex: (3,17)

Minimum or Maximum: Maximum

y-intercept: (0,8)

300

What is the vertex of this quadratic function?

f(x) = 2(x+4)2-3

(-4,-3)

300

To find zeros (or x-intercepts) think of what number makes the parenthesis equal to zero.

What are the zeros of the following function?

f(x)=x2-4x-5

Factored: f(x)=(x-5)(x+1)

The zeros are: (5,0)(-1,0)


300

What is the function g(x) if it's created from f(x)=x2 by moving the graph left 8 units, and 3 units up.

g(x)=(x+8)2+3
300

Evaluate the function:

Find f(2)

f(x)=-x3-4x+6

f(2)=-(2)3-4(2)+6

f(2)=-8-8+6

f(2)=-10

(2,-10)

400

Answer all of the following questions for 

f(x)=x2+8x-3:

Vertex?

Minimum of Maximum?

y-intercept?

Vertex: (4,45)

Minimum

y-intercept: (0,-3)

400

BONUS:

Evaluate the function:

Find f(-2).

f(x)=-x2+3

f(-2)=-(-2)2+3

f(-2)=-1

(-2,-1)

400

If the zeros of a quadratic function are 4 and 8, what is the standard form of the quadratic function?

Factored: f(x)=(x-4)(x-8)

FOIL

Answer: f(x)=x2-12x+32

400

What is the function g(x) if it's created from f(x)=x2 by moving the graph right 5 units, 7 units up, and a vertical compression of 1/2.

g(x)=1/2(x-5)2+7

400

Rearrange the formula:

b= at + 9t2

Solve for a

a=(b-9t2)/t

500

The cost of making these study guides is shown by the function C = 0.5x2-25x+90. 

C is the total cost, x is the number of hours.

If no hours are used, what is the cost?

x=0

Therefore,

C=90

500

BONUS:

Classify all of the following equations by degree:

y=4

y=5x

y=6x-2

y=7x2

y=4 Constant

y=5x Linear

y=6x-2 Linear

y=7x2 QUADRATIC (non-linear)

500
Given the following table of points for a quadratic function, what is the standard form?

  x         y

 -1        12

  0         6

  2         0

  3         0

Looking at the table, the zeros are 2 and 3.

Factored form: f(x)= (x-2)(x-3)

FOIL

Answer: f(x)= x2-5x+6

500

What is the function g(x) if it's created from f(x)=x2 by moving the graph right 3 units, 5 units down, and a vertical stretch of 3.

g(x)=3(x-3)2-5

500
P=2(l+w)

Solve for w

w=(P-2l)/2